名校
1 . 在四棱锥P-ABCD中,底面ABCD为直角梯形,
,
,
,E为线段AD的中点.PE⊥底面ABCD,点F是棱PC的中点,平面BEF与棱PD相交于点G.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/29/7970cfeb-0c9d-4ce5-82be-2be538a59247.png?resizew=128)
(1)求证:
;
(2)若PC与AB所成的角为
,求直线PB与平面BEF所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d730ae4307db56b47849c3a19dedfb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639bec6242a4b3f7bfb4b7033a67328c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/29/7970cfeb-0c9d-4ce5-82be-2be538a59247.png?resizew=128)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b8b871bc2a1c85da6a27451dbbf522.png)
(2)若PC与AB所成的角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
您最近一年使用:0次
2023-04-28更新
|
1357次组卷
|
6卷引用:北京市第五中学2021届高三上学期10月月考数学试题
名校
解题方法
2 . 如图,在四棱锥
中,底面
是菱形,
平面
,
,
的中点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/157d5215-02b1-42f2-8a9c-f03b65d0e7a4.png?resizew=185)
(1)求证:
平面
.
(2)请从下面两个条件中任选一个,补充在下面的横线上,并作答.①
,②
与平面
所成的角为
.若______,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83a04565a8ebaa111894b724b0ba266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/157d5215-02b1-42f2-8a9c-f03b65d0e7a4.png?resizew=185)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa69a2247ad4d5231aa361349b12f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4734735213b599a9915e1ed91a5d8ce4.png)
(2)请从下面两个条件中任选一个,补充在下面的横线上,并作答.①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e521605c1066839c8cf71f0941b36d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281177cc5c7e6294a474dc64ee02aa29.png)
您最近一年使用:0次
11-12高二上·广东·期末
名校
解题方法
3 . 如图,四棱锥
的底面
是矩形,
⊥平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/2921a67f-aa9c-4c68-988e-ff0c43e53be0.png?resizew=153)
(1)求证:
⊥平面
;
(2)求二面角
余弦值的大小;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b10835116b9b777a666b438c907b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46571701ccaa18d3c844ab99ee6c30e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/2921a67f-aa9c-4c68-988e-ff0c43e53be0.png?resizew=153)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d9f756419912dd298a0d6857130c80.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
2023-04-18更新
|
1330次组卷
|
27卷引用:北京市昌平区首都师范大学附属回龙观育新学校2022-2023学年高二上学期10月月考数学试题
北京市昌平区首都师范大学附属回龙观育新学校2022-2023学年高二上学期10月月考数学试题北京市育英学校2024届高三上学期统一练习(一) 数学试题(已下线)2012-2013学年湖南邵阳石齐学校高二第三次月考理科数学试卷湖南省长沙市第一中学2015-2016学年高一12月月考数学试题海南省东方市东方中学2021-2022学年高二上学期第二次月考数学试题北京市对外经济贸易大学附属中学(北京市第九十四中学)2023届高三上学期数学期末复习试题北京市育英学校2022-2023学年高二下学期期中练习数学试题北京市育英学校2021-2022学年高二普通班上学期期末练习数学试题陕西省西安南开高级中学2023-2024学年高二上学期9月第一次质量检测数学试题北京市怀柔区青苗学校2023-2024学年高二上学期期中考试数学试题(已下线)2010-2011学年广东北江中学第一学期期末考试高二理科数学(已下线)2012-2013学年福建省三明一中高二上学期期中考试理科数学试卷(已下线)2012—2013学年甘肃省甘谷一中高二上学期期中考试理科数学试卷河北省邢台市巨鹿县二中2017-2018学年高二下学期期末考试数学(理)试题【校级联考】江西省南昌市八一中学、洪都中学、麻丘高中等七校2018-2019学年高二下学期期中考试数学(文)试题新疆伊西哈拉镇中学2018-2019学年高二上学期期末数学试卷四川省棠湖中学2019-2020学年高二上学期开学考试数学(理)试题福建省福州福清市2017-2018学年学年高二上学期期末考试数学(理)试题天津市第二十五中学2020-2021学年高二上学期期中数学试题陕西省榆林市府谷中学2022-2023学年高二上学期期末线上考试理科数学试题江苏省南京市第一中学实验学校2022-2023学年高二下学期期中数学试题第三章空间向量与立体几何 单元练习-2022-2023学年高二上学期数学北师大版(2019)选择性必修第一册福建省泉州市晋江二中、鹏峰中学、广海中学、泉港区第五中学2022-2023学年高二上学期期中联考数学试题湖北省部分高中联考协作体2023-2024学年高二上学期期中联考数学试题天津市河东区2024届高三上学期期末质量调查数学试题(已下线)高三数学开学摸底考(天津专用)(已下线)黄金卷07
名校
4 . 如图,在三棱柱
中,侧面
为矩形,平面
平面
,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/f950cd55-f20a-4155-ad11-690d248969e2.png?resizew=234)
(1)求证:
平面
;
(2)若侧面
是正方形,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a2e10a5aebe40a9018d5ee3ade7af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047f00a89d08e79d45adde46af70c9e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddef39ef9ed3da136c4ed8b5d28b73e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/f950cd55-f20a-4155-ad11-690d248969e2.png?resizew=234)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
(2)若侧面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
您最近一年使用:0次
2022-12-04更新
|
542次组卷
|
4卷引用:北京市北京教育学院附属中学2023届高三上学期12月测试数学试题
名校
5 . 如图,在多面体ABCDEF中,梯形ADEF与平行四边形ABCD所在平面互相垂直,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/3436b78d-4c44-4e6a-a1ca-af5490d17e0e.png?resizew=166)
(1)求证:BF∥平面CDE;
(2)求二面角
的余弦值;
(3)判断线段BE上是否存在点Q,使得平面CDQ⊥平面BEF?若存在,求出
的值,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82438cf7dddee8f62aaa928ce402f96e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/3436b78d-4c44-4e6a-a1ca-af5490d17e0e.png?resizew=166)
(1)求证:BF∥平面CDE;
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fa7ff056747ebdc342dc2ddf1b4b16.png)
(3)判断线段BE上是否存在点Q,使得平面CDQ⊥平面BEF?若存在,求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fa6b0921ac2aabed4c310cbb377a2f.png)
您最近一年使用:0次
2022-12-10更新
|
1002次组卷
|
15卷引用:北京师范大学附属实验中学2023届高三上学期第七次大单元(月考)数学试题
北京师范大学附属实验中学2023届高三上学期第七次大单元(月考)数学试题北京市顺义区杨镇第一中学2024届高三下学期3月检测数学试题【区级联考】北京市西城区2019届高三4月统一测试(一模)数学理试题北京市一七一中学2019-2020学年高二第一学期期中考试数学试题北京五中2020届高三(4月份)高考数学模拟试题(已下线)专题16 立体几何-2020年高考数学母题题源解密(北京专版)北京市第三中学2021届高三上学期期中考试数学试题北京市第四十三中学2021-2022学年高二上学期期中考试数学试题(已下线)数学(北京B卷)山东省菏泽第一中学2022-2023学年高二上学期12月月考数学试题北京市第一五六中学2023-2024学年高二上学期期中测试数学试题广东省佛山市荣山中学2022-2023学年高二上学期期中数学试题(已下线)高二上学期期中【易错60题考点专练】(选修一全部内容)-2022-2023学年高二数学考试满分全攻略(人教A版2019选修第一册)广东省佛山市超盈实验中学2023-2024学年高二上学期第二次段考复习数学试题(已下线)单元高难问题01探索性问题(各大名校30题专项训练)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)
名校
解题方法
6 . 如图,在四棱锥
中,
平面ABCD,
,
,
,点E是线段PD中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/38f6f742-633f-4939-9d39-4dc7cf275769.png?resizew=215)
(1)求证:
平面
;
(2)求二面角
的余弦值;
(3)求点P到平面ACE的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95475bfc06e884754eb4a455c3f434e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8277767aa2d4369a8c2deb6d16f08d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/38f6f742-633f-4939-9d39-4dc7cf275769.png?resizew=215)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a20ea69475dcf57a5ff18c13eceaaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f4096ff62b4f29932cd8c6eef661a3.png)
(3)求点P到平面ACE的距离.
您最近一年使用:0次
名校
7 . 如图,在四棱锥
中,底面
为边长为2的正方形,平面
平面
,
,
,
是线段
上异于点
,
的动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/ff711dd1-2c08-4781-8181-0b608f42dd84.png?resizew=191)
(1)当
是线段
的中点时,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)当二面角
的余弦值为
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0453cfd7e92bf7746a88280b9e7b580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/ff711dd1-2c08-4781-8181-0b608f42dd84.png?resizew=191)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(3)当二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4be6ee295b46490a1eed671b6975a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08e91d2fa9519a5f48d488176700499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add47889f6b4911133999a898d3666d3.png)
您最近一年使用:0次
名校
解题方法
8 . 如图,在四棱锥
中,
平面
,底面
是边长为2的正方形,
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/c47890b1-7ce7-42b8-a597-05be0305dc68.png?resizew=136)
(1)求证:平面
平面
;
(2)求直线
与平面
所成角的正弦值.
(3)求点
到面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7056b3186fa5bb6898fc0e7c8d465beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589c3cc1f331dbb2248b0829039df7f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/c47890b1-7ce7-42b8-a597-05be0305dc68.png?resizew=136)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da9dcf6c319174c9ea2b1ceaed1649a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
您最近一年使用:0次
2022-11-18更新
|
642次组卷
|
2卷引用:北京市第十一中学2023届高三上学期11月月考数学试题
解题方法
9 . 如图,正方体
的棱长为2,E为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/ff59b6fa-b61f-46be-a7c6-5d695575094c.png?resizew=159)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/ff59b6fa-b61f-46be-a7c6-5d695575094c.png?resizew=159)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf9628142422a4884bd59538da6d312.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2331bccb6ebf5b9fd639df994f575a9.png)
您最近一年使用:0次
2022-11-12更新
|
103次组卷
|
2卷引用:北京市顺义区第二中学2022-2023学年高二上学期10月学业成果展示数学试题
10 . 如图,在几何体
中,底面四边形
是正方形,平面
和平面
交于
.
(1)求证:
;
(2)若
,
,
,
,再从条件①,条件②,条件③中选择一个作为已知,使得几何体
存在,并求二面角
的余弦值.
条件①:平面
平面
;
条件②:平面
平面
.
条件③:
,
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ba3f676fda6a2aaaa55c9f32874a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666734423f1818d76a74f171b7420b68.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeedb5f361a1baff6338436fff6c471d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/869dbfaf24d441c4ce3a2b8db86cd2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678988261e6fd7c4f1199c0204a8045d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e384e0ffc3d599303b77ee2a12221e.png)
条件①:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c1acdd27cebb11e0266464b03b3afb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
条件②:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2af539ca4fdc2fa94d4986537b6598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8baaea02eaa7e473fb2a8f84ba575c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd40e867f1d3377cf4fb9ae730d04cf7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/9/39c57e43-3369-43b9-bfb8-3cfd532e567a.png?resizew=167)
您最近一年使用:0次
2023-02-01更新
|
389次组卷
|
2卷引用:北京市第十三中学2023届高三上学期12月月考测试数学试题